How to Add Exponents

Step-by-Step Guide

1. 1

   Step 1: Solve the first exponential expression.

   An exponential expression has a base (large number) and exponent (small number).
   
   The exponent tells you how many times to multiply the base by itself (23=2×2×2{\displaystyle 2^{3}=2\times 2\times 2}).For example, if your problem is 34+25{\displaystyle 3^{4}+2^{5}}, you would first calculate 34{\displaystyle 3^{4}}:34{\displaystyle 3^{4}}=3×3×3×3{\displaystyle =3\times 3\times 3\times 3}=81{\displaystyle =81}
2. 2

   Step 2: Solve the second exponential expression.

   To do this, multiply the base by itself the number of times indicated by the exponent.
   
   For example, the problem is now 81+25{\displaystyle 81+2^{5}}, so you need to calculate 25{\displaystyle 2^{5}}:25{\displaystyle 2^{5}}=2×2×2×2×2{\displaystyle =2\times 2\times 2\times 2\times 2}=32{\displaystyle =32} , This will give you the sum of the two exponential expressions.
   
   For example:34+25{\displaystyle 3^{4}+2^{5}}=(3×3×3×3)+(2×2×2×2×2){\displaystyle =(3\times 3\times 3\times 3)+(2\times 2\times 2\times 2\times 2)}=(81)+(32){\displaystyle =(81)+(32)}=113{\displaystyle =113}
3. 3

   Step 3: Add the two values together.

Detailed Guide

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